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464421360 = 243513148853
BaseRepresentation
bin11011101011101…
…000000111110000
31012100220001100010
4123223220013300
51422342440420
6114030054520
714336342064
oct3353500760
91170801303
10464421360
11219176707
1210b64a440
13752a8b50
1445973aa4
152ab8b4e0
hex1bae81f0

464421360 has 80 divisors (see below), whose sum is σ = 1550463264. Its totient is φ = 114318336.

The previous prime is 464421301. The next prime is 464421367. The reversal of 464421360 is 63124464.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464421367) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71307 + ... + 77546.

Almost surely, 2464421360 is an apocalyptic number.

464421360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

464421360 is an abundant number, since it is smaller than the sum of its proper divisors (1086041904).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

464421360 is a wasteful number, since it uses less digits than its factorization.

464421360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148882 (or 148876 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 464421360 is about 21550.4375825643. The cubic root of 464421360 is about 774.4096009869.

The spelling of 464421360 in words is "four hundred sixty-four million, four hundred twenty-one thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 148853 297706 446559 595412 744265 893118 1190824 1488530 1786236 1935089 2232795 2381648 2977060 3572472 3870178 4465590 5805267 5954120 7144944 7740356 8931180 9675445 11610534 11908240 15480712 17862360 19350890 23221068 29026335 30961424 35724720 38701780 46442136 58052670 77403560 92884272 116105340 154807120 232210680 464421360